Atkin-Lehner |
2- 3- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
115056bh |
Isogeny class |
Conductor |
115056 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1728000 |
Modular degree for the optimal curve |
Δ |
-637853949218893824 = -1 · 212 · 315 · 173 · 472 |
Discriminant |
Eigenvalues |
2- 3- 3 2 3 -3 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-525936,151752688] |
[a1,a2,a3,a4,a6] |
Generators |
[14626:582471:8] |
Generators of the group modulo torsion |
j |
-5388091135971328/213615997011 |
j-invariant |
L |
10.516979850434 |
L(r)(E,1)/r! |
Ω |
0.28612504797694 |
Real period |
R |
1.5315244036666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006643 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7191h1 38352p1 |
Quadratic twists by: -4 -3 |